GMRESR: a family of nested GMRES methods. - Henk A. van der Vorst; Cornelis Vuik (Numer. Linear Algebra Appl., 1994)

Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. - S. Zeng; Cornelis Vuik; Pieter Wesseling (Adv. Comput. Math., 1995)

Parallelism in ILU-preconditioned GMRES. - Cornelis Vuik; R. R. P. van Nooyen; P. Wesseling (Parallel Comput., 1998)

A Parallel Implementation of the Block Preconditioned GCR Method. - Cornelis Vuik; Jason Frank (HPCN Europe, 1999)

A Parallel Block Preconditioner Accelerated by Coarse Grid Correction. - Cornelis Vuik; Jason Frank (HPCN Europe, 2000)

Fast pressure calculation for 2D and 3D time dependent incompressible flow. - J. van Kan; Cornelis Vuik; P. Wesseling (Numer. Linear Algebra Appl., 2000)

Coarse grid acceleration of a parallel block preconditioner. - Cornelis Vuik; Jason Frank (Future Gener. Comput. Syst., 2001)

A parallel block-preconditioned GCR method for incompressible flow problems. - Cornelis Vuik; Jason Frank; A. Segal (Future Gener. Comput. Syst., 2001)

On the Construction of Deflation-Based Preconditioners. - Jason Frank; Cornelis Vuik (SIAM J. Sci. Comput., 2001)

Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. - Chunguang Li; Cornelis Vuik (Numer. Linear Algebra Appl., 2004)

A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow. - Reinhard Nabben; Cornelis Vuik (SIAM J. Numer. Anal., 2004)

The Deflation Accelerated Schwarz Method for CFD. - J. Verkaik; Cornelis Vuik; B. D. Paarhuis; A. Twerda (International Conference on Computational Science (1), 2005)

Numerical Methods for Reacting Gas Flow Simulations. - S. van Veldhuizen; Cornelis Vuik; Chris R. Kleijn (International Conference on Computational Science (2), 2006)

A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems. - Yogi A. Erlangga; Cornelis W. Oosterlee; Cornelis Vuik (SIAM J. Sci. Comput., 2006)

A Comparison of Deflation and the Balancing Preconditioner. - Reinhard Nabben; Cornelis Vuik (SIAM J. Sci. Comput., 2006)

Acceleration of Preconditioned Krylov Solvers for Bubbly Flow Problems. - Jok Man Tang; Cornelis Vuik (International Conference on Computational Science (1), 2007)

A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys. - Etelvina Javierre; Cornelis Vuik; Fred J. Vermolen; A. Segal (J. Comput. Phys., 2007)

Preface. - Kees Oosterlee; Barry Koren; Kees Vuik (J. Comput. Phys., 2007)

A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. - C. D. Riyanti; A. Kononov; Yogi A. Erlangga; Cornelis Vuik; Cornelis W. Oosterlee; René-Edouard Plessix; Wim A. Mulder (J. Comput. Phys., 2007)

Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian. - Martin B. van Gijzen; Yogi A. Erlangga; Cornelis Vuik (SIAM J. Sci. Comput., 2007)

Fast and robust solvers for pressure-correction in bubbly flow problems. - Scott P. MacLachlan; Jok Man Tang; Cornelis Vuik (J. Comput. Phys., 2008)

A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. - Reinhard Nabben; Cornelis Vuik (Numer. Linear Algebra Appl., 2008)

Block Preconditioners for the Incompressible Stokes Problem. - Mehfooz ur Rehman; Cornelis Vuik; Guus Segal (LSSC, 2009)

Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods. - Jok Man Tang; Reinhard Nabben; Cornelis Vuik; Yogi A. Erlangga (J. Sci. Comput., 2009)

On projected Newton-Krylov solvers for instationary laminar reacting gas flows. - S. van Veldhuizen; Cornelis Vuik; Chris R. Kleijn (J. Comput. Phys., 2010)

Application of the numerical density-enthalpy method to the multi-phase flow through a porous medium. - Ibrahim; Fred J. Vermolen; Cornelis Vuik (ICCS, 2010)

The Deflated Relaxed Incomplete Cholesky CG method for use in a real-time ship simulator. - Elwin van't Wout; Martin B. van Gijzen; A. Ditzel; Auke van der Ploeg; Cornelis Vuik (ICCS, 2010)

A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. - Jok Man Tang; Scott P. MacLachlan; Reinhard Nabben; Cornelis Vuik (SIAM J. Matrix Anal. Appl., 2010)

GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. - H. Knibbe; Cornelis W. Oosterlee; Cornelis Vuik (J. Comput. Appl. Math., 2011)

Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions. - Paulien van Slingerland; Jennifer K. Ryan; Cornelis Vuik (SIAM J. Sci. Comput., 2011)

Efficient Two-Level Preconditioned Conjugate Gradient Method on the GPU. - Rohit Gupta 009; Martin B. van Gijzen; Cornelis Vuik (VECPAR, 2012)

On the Convergence of Inexact Newton Methods. - Reijer Idema; Domenico Lahaye; Cornelis Vuik (ENUMATH, 2013)

3D Bubbly Flow Simulation on the GPU - Iterative Solution of a Linear System Using Sub-domain and Level-Set Deflation. - Rohit Gupta 009; Martin Bastiaan van Gijzen; Cornelis Vuik (PDP, 2013)

Application of the level-set method to a mixed-mode driven Stefan problem in 2 $$D$$ and 3 $$D$$. - D. den Ouden; A. Segal; Fred J. Vermolen; L. Zhao; Cornelis Vuik; J. Sietsma (Computing, 2013)

On the convergence of shifted Laplace preconditioner combined with multilevel deflation. - Abdul Hanan Sheikh; Domenico Lahaye; Cornelis Vuik (Numer. Linear Algebra Appl., 2013)

On the Use of Rigid Body Modes in the Deflated Preconditioned Conjugate Gradient Method. - T. B. Jönsthövel; Martin B. van Gijzen; Cornelis Vuik; A. Scarpas (SIAM J. Sci. Comput., 2013)

Impact of correlated infeeds on risk-based power system security assessment. - Martijn de Jong; George Papaeffhymiou; Domenico Lahaye; Kees Vuik; Lou van der Sluis (PSCC, 2014)

Multi-GPU/CPU deflated preconditioned conjugate gradient for bubbly flow solver. - Rohit Gupta 009; Martin B. van Gijzen; Kees Vuik (SpringSim (HPS), 2014)

Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. - Liangyue Ji; Paulien van Slingerland; Jennifer K. Ryan; Kees Vuik (Math. Comput., 2014)

Genealogy of traffic flow models. - Femke van Wageningen-Kessels; Hans van Lint; Kees Vuik; Serge P. Hoogendoorn (EURO J. Transp. Logist., 2015)

Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. - Paulien van Slingerland; Cornelis Vuik (J. Comput. Appl. Math., 2015)

One-Sided Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering Over Uniform and Non-uniform Meshes. - Jennifer K. Ryan; Xiaozhou Li 003; Robert M. Kirby; Kees Vuik (J. Sci. Comput., 2015)

Acceleration of Turbomachinery Steady Simulations on GPU. - Mohamed Hassanine Aissa; Lasse Müller; Tom Verstraete; Cornelis Vuik (Euro-Par Workshops, 2016)

Smoothness-Increasing Accuracy-Conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. - Xiaozhou Li 003; Jennifer K. Ryan; Robert Michael Kirby; Cornelis Vuik (J. Comput. Appl. Math., 2016)

Stability analysis of the marching-on-in-time boundary element method for electromagnetics. - Elwin van't Wout; Duncan R. van der Heul; Harmen van der Ven; Cornelis Vuik (J. Comput. Appl. Math., 2016)

The parallel subdomain-levelset deflation method in reservoir simulation. - Joost H. van der Linden; Tom B. Jönsthövel; Alexander A. Lukyanov; Cornelis Vuik (J. Comput. Phys., 2016)

A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment. - G. T. Oud; Duncan R. van der Heul; Cornelis Vuik; R. A. W. M. Henkes (J. Comput. Phys., 2016)

Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. - Abdul Hanan Sheikh; Domenico Lahaye; L. Garcia Ramos; Reinhard Nabben; Cornelis Vuik (J. Comput. Phys., 2016)

Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. - Mohamed Hassanine Aissa; Tom Verstraete; Cornelis Vuik (Comput. Math. Appl., 2017)

On the impact of quantum computing technology on future developments in high-performance scientific computing. - Matthias Möller; Cornelis Vuik (Ethics Inf. Technol., 2017)

Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. - Xin He; Cornelis Vuik; Christiaan M. Klaij (J. Num. Math., 2017)

Elliptic grid generation techniques in the framework of isogeometric analysis applications. - Jochen Hinz; Matthias Möller; Cornelis Vuik (Comput. Aided Geom. Des., 2018)

Global Dynamics in the Leslie-Gower Model with the Allee Effect. - Valery A. Gaiko; Cornelis Vuik (Int. J. Bifurc. Chaos, 2018)

On POD-based Deflation Vectors for DPCG applied to porous media problems. - Gabriela Berenice Diaz Cortes; Cornelis Vuik; Jan Dirk Jansen (J. Comput. Appl. Math., 2018)

Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). - Tahoura Hosseinimehr; Matteo Cusini; Cornelis Vuik; Hadi Hajibeygi (J. Comput. Phys., 2018)

Combining the Augmented Lagrangian Preconditioner with the Simple Schur Complement Approximation. - Xin He; Cornelis Vuik; Christiaan M. Klaij (SIAM J. Sci. Comput., 2018)

Modelling Turbulent Combustion Coupled with Conjugate Heat Transfer in OpenFOAM. - Mohamed el Abbassi; Domenico Lahaye; Kees Vuik (ENUMATH, 2019)

A Non-reflective Boundary Condition for LBM Based on the Assumption of Non-equilibrium Symmetry. - R. Euser; Cornelis Vuik (ENUMATH, 2019)

The Master-Slave Splitting Extended to Power Flow Problems on Integrated Networks with an Unbalanced Distribution Network. - Marieke E. Kootte; Cornelis Vuik (ENUMATH, 2019)

Scaling of the Steady-State Load Flow Equations for Multi-Carrier Energy Systems. - Anne S. Markensteijn; J. E. Romate; Cornelis Vuik (ENUMATH, 2019)

A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis. - Roel Tielen; Matthias Möller; Kees Vuik (ENUMATH, 2019)

On a comparison of Newton-Raphson solvers for power flow problems. - Baljinnyam Sereeter; Cornelis Vuik; Cees Witteveen (J. Comput. Appl. Math., 2019)

Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy. - Xiaozhou Li 003; Jennifer K. Ryan; Robert M. Kirby; Kees Vuik (J. Sci. Comput., 2019)

A conceptual framework for quantum accelerated automated design optimization. - Matthias Möller; Cornelis Vuik (Microprocess. Microsystems, 2019)

Solving the Steady-State Power Flow Problem on Integrated Transmission-Distribution Networks: A Comparison of Numerical Methods. - Marieke E. Kootte; Baljinnyam Sereeter; Cornelis Vuik (ISGT-Europe, 2020)

Convergence of Newton's Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems. - Anne S. Markensteijn; Kees Vuik (ISGT-Europe, 2020)

The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications. - Jochen Hinz; Andrzej Jaeschke; Matthias Möller; Cornelis Vuik (CoRR, 2020)

Towards Accuracy and Scalability: Combining Isogeometric Analysis with Deflation to Obtain Scalable Convergence for the Helmholtz Equation. - Vandana Dwarka; Roel Tielen; Matthias Möller; Kees Vuik (CoRR, 2020)

A stable SPH discretization of the elliptic operator with heterogeneous coefficients. - Alexander A. Lukyanov; Cornelis Vuik (J. Comput. Appl. Math., 2020)

Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows. - Xin He; Cornelis Vuik (J. Comput. Phys., 2020)

Adaptive dynamic multilevel simulation of fractured geothermal reservoirs. - Mousa Hosseinimehr; Cornelis Vuik; Hadi Hajibeygi (J. Comput. Phys. X, 2020)

Scalable Convergence Using Two-Level Deflation Preconditioning for the Helmholtz Equation. - Vandana Dwarka; Cornelis Vuik (SIAM J. Sci. Comput., 2020)

Inexact subdomain solves using deflated GMRES for Helmholtz problems. - Niall Bootland; Vandana Dwarka; Pierre Jolivet; Victorita Dolean; Cornelis Vuik (CoRR, 2021)

A preconditioned mixed-FE scheme with stabilized Lagrange multiplier for frictional contact mechanics of crossing fractures in porous media. - Luyu Wang; Cornelis Vuik; Hadi Hajibeygi (CoRR, 2021)

Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis. - Roel Tielen; Matthias Möller; Cornelis Vuik (CoRR, 2021)

Pollution and accuracy of solutions of the Helmholtz equation: A novel perspective from the eigenvalues. - Vandana Dwarka; Cornelis Vuik (J. Comput. Appl. Math., 2021)

A novel linearized power flow approach for transmission and distribution networks. - Baljinnyam Sereeter; Anne S. Markensteijn; Marieke E. Kootte; Cornelis Vuik (J. Comput. Appl. Math., 2021)

A Simple and Fast Hole Detection Algorithm for Triangulated Surfaces. - Vijai Kumar Suriyababu; Cornelis Vuik (J. Comput. Inf. Sci. Eng., 2021)

Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations. - Yue Qiu; Martin B. van Gijzen; Jan-Willem van Wingerden; Michel Verhaegen; Cornelis Vuik (Numer. Linear Algebra Appl., 2021)

Composite Anderson acceleration method with dynamic window-sizes and optimized damping. - Kewang Chen; Cornelis Vuik (CoRR, 2022)

Scalable multi-level deflation preconditioning for highly indefinite time-harmonic waves. - Vandana Dwarka; Cornelis Vuik (J. Comput. Phys., 2022)

A comparison of Krylov methods for Shifted Skew-Symmetric Systems. - Reijer Idema; Cornelis Vuik (CoRR, 2023)

A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation. - Jinqiang Chen; Vandana Dwarka; Cornelis Vuik (CoRR, 2023)

A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems. - Jinqiang Chen; Vandana Dwarka; Cornelis Vuik (CoRR, 2023)

Stand-alone Multigrid for Helmholtz Revisited: Towards Convergence Using Standard Components. - Vandana Dwarka; Cornelis Vuik (CoRR, 2023)

A short report on preconditioned Anderson acceleration method. - Kewang Chen; Ye Ji; Matthias Möller; Cornelis Vuik (CoRR, 2023)

On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration. - Ye Ji; Kewang Chen; Matthias Möller; Cornelis Vuik (Comput. Aided Geom. Des., 2023)

Deflation techniques applied on mixed model equations. - Jérémie Vandenplas; Buu-Van Nguyen; Cornelis Vuik (J. Comput. Appl. Math., 2023)

A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems. - Seryas Vakili; Ghodrat Ebadi; Cornelis Vuik (Numer. Linear Algebra Appl., 2023)

Towards a High Quality Shrink Wrap Mesh Generation Algorithm Using Mathematical Morphology. - Vijai Kumar Suriyababu; Cornelis Vuik; Matthias Möller (Comput. Aided Des., 2023)

Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration. - Kewang Chen; Cornelis Vuik (Adv. Comput. Math., 2023)

Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems. - Erik Sieburgh; Alexander Heinlein; Vandana Dwarka; Cornelis Vuik (CoRR, 2024)

Non-stationary Anderson acceleration with optimized damping. - Kewang Chen; Cornelis Vuik (J. Comput. Appl. Math., 2024)

A matrix-free parallel two-level deflation preconditioner for two-dimensional heterogeneous Helmholtz problems. - Jinqiang Chen; Vandana Dwarka; Cornelis Vuik (J. Comput. Phys., 2024)

New iterative methods for solving generalized absolute value equations. - Ghodrat Ebadi; Somayeh Seifollahzadeh; Cornelis Vuik (Comput. Appl. Math., 2024)

Performance of Krylov solvers for gas networks. - Buu-Van Nguyen; Johan Romate; Cornelis Vuik (e-Energy, 2025)

Matrix-Free Parallel Scalable Multilevel Deflation Preconditioning for Heterogeneous Time-Harmonic Wave Problems. - Jinqiang Chen; Vandana Dwarka; Cornelis Vuik (J. Sci. Comput., 2025)